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Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions

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Recent Developments of Mathematical Fluid Mechanics

Part of the book series: Advances in Mathematical Fluid Mechanics ((AMFM))

Abstract

Let \(\Omega \subset \mathbb{R}^{n}\), n ≥ 3, be an exterior domain with smooth boundary. It is shown that the Stokes semigroup on \(L_{\sigma }^{\infty }(\Omega )\) is a bounded analytic semigroup on this space.

Dedicated to Prof. Y. Shibata on the occasion of his 60th-Birthday

Mathematics Subject Classification (2010). 35Q35, 35K90, 76D07

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Schlossgartenstr. 7, 64289, Darmstadt, Germany

    Matthias Hieber

  2. University of Pittsburgh, 607 Benedum Engineering Hall, Pittsburgh, PA, 15261, USA

    Matthias Hieber

  3. Dipartimento di Mathematica, Via Vivaldi 43, 81100, Caserta, Italy

    Paolo Maremonti

Authors
  1. Matthias Hieber
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  2. Paolo Maremonti
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Corresponding author

Correspondence to Matthias Hieber .

Editor information

Editors and Affiliations

  1. Universität of Zürich, Institut für Mathematik, Zürich, Switzerland

    Herbert Amann

  2. University of Tokyo, Graduate School of Mathematical Sciences, Tokyo, Japan

    Yoshikazu Giga

  3. Department of Mathematics, Waseda University, Tokyo, Japan

    Hideo Kozono

  4. Research Institute for Mathematical Sciences, Kyoto University Kitashirakawa, Kyoto, Japan

    Hisashi Okamoto

  5. Department of Mathematics, Waseda University, Tokyo, Japan

    Masao Yamazaki

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Hieber, M., Maremonti, P. (2016). Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions. In: Amann, H., Giga, Y., Kozono, H., Okamoto, H., Yamazaki, M. (eds) Recent Developments of Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0939-9_15

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